TY - JOUR
T1 - Partial dynamical symmetry
AU - Alhassid, Y.
AU - Leviatan, A.
PY - 1992
Y1 - 1992
N2 - A novel type of symmetry structure, which the authors call 'partial dynamical symmetry', is discussed. A general algorithm is presented to construct Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstates. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.
AB - A novel type of symmetry structure, which the authors call 'partial dynamical symmetry', is discussed. A general algorithm is presented to construct Hamiltonians with such symmetry, for any semisimple group. These Hamiltonians are not invariant under that group, and various irreducible representations are mixed in their eigenstates. However, they possess a subset of eigenstates which do have good symmetry and can therefore be labelled by the irreducible representations of that group. The eigenvalues and wavefunctions of these states are given in closed form. An example of a Hamiltonian with a partial SU(3) symmetry is provided.
UR - http://www.scopus.com/inward/record.url?scp=21144475457&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/25/23/001
DO - 10.1088/0305-4470/25/23/001
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AN - SCOPUS:21144475457
SN - 0305-4470
VL - 25
SP - L1265-L1271
JO - Journal of Physics A: General Physics
JF - Journal of Physics A: General Physics
IS - 23
M1 - 001
ER -